[3] | 1 | MODULE trazdf_exp |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE trazdf_exp *** |
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| 4 | !! Ocean active tracers: vertical component of the tracer mixing trend using |
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[1110] | 5 | !! a split-explicit time-stepping |
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[3] | 6 | !!============================================================================== |
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[1110] | 7 | !! History : OPA ! 1990-10 (B. Blanke) Original code |
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| 8 | !! 7.0 ! 1991-11 (G. Madec) |
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| 9 | !! ! 1992-06 (M. Imbard) correction on tracer trend loops |
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| 10 | !! ! 1996-01 (G. Madec) statement function for e3 |
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| 11 | !! ! 1997-05 (G. Madec) vertical component of isopycnal |
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| 12 | !! ! 1997-07 (G. Madec) geopotential diffusion in s-coord |
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| 13 | !! ! 2000-08 (G. Madec) double diffusive mixing |
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| 14 | !! NEMO 1.0 ! 2002-08 (G. Madec) F90: Free form and module |
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| 15 | !! - ! 2004-08 (C. Talandier) New trends organisation |
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| 16 | !! - ! 2005-11 (G. Madec) New organisation |
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| 17 | !! 3.0 ! 2008-04 (G. Madec) leap-frog time stepping done in trazdf |
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[3] | 18 | !!---------------------------------------------------------------------- |
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[1110] | 19 | |
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[3] | 20 | !!---------------------------------------------------------------------- |
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[1110] | 21 | !! tra_zdf_exp : compute the tracer the vertical diffusion trend using a |
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| 22 | !! split-explicit time stepping and provide the after tracer |
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| 23 | !!---------------------------------------------------------------------- |
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[3] | 24 | USE oce ! ocean dynamics and active tracers |
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| 25 | USE dom_oce ! ocean space and time domain |
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[1110] | 26 | USE domvvl ! variablevolume levels |
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[216] | 27 | USE trdmod ! ocean active tracers trends |
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| 28 | USE trdmod_oce ! ocean variables trends |
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[3] | 29 | USE zdf_oce ! ocean vertical physics |
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| 30 | USE zdfddm ! ocean vertical physics: double diffusion |
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| 31 | USE in_out_manager ! I/O manager |
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[258] | 32 | USE prtctl ! Print control |
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[3] | 33 | |
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| 34 | IMPLICIT NONE |
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| 35 | PRIVATE |
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| 36 | |
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[1110] | 37 | PUBLIC tra_zdf_exp ! routine called by step.F90 |
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[3] | 38 | |
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| 39 | !! * Substitutions |
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| 40 | # include "domzgr_substitute.h90" |
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| 41 | # include "zdfddm_substitute.h90" |
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[1110] | 42 | # include "vectopt_loop_substitute.h90" |
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[3] | 43 | !!---------------------------------------------------------------------- |
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[1438] | 44 | !! NEMO/OPA 3.2 , LOCEAN-IPSL (2009) |
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[1146] | 45 | !! $Id$ |
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[1110] | 46 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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[3] | 47 | !!---------------------------------------------------------------------- |
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| 48 | |
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| 49 | CONTAINS |
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| 50 | |
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[457] | 51 | SUBROUTINE tra_zdf_exp( kt, p2dt ) |
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[3] | 52 | !!---------------------------------------------------------------------- |
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| 53 | !! *** ROUTINE tra_zdf_exp *** |
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| 54 | !! |
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[1110] | 55 | !! ** Purpose : Compute the after tracer fields due to the vertical |
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| 56 | !! tracer mixing alone, and then due to the whole tracer trend. |
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[3] | 57 | !! |
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[1110] | 58 | !! ** Method : - The after tracer fields due to the vertical diffusion |
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| 59 | !! of tracers alone is given by: |
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| 60 | !! zwx = tb + p2dt difft |
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| 61 | !! where difft = dz( avt dz(tb) ) = 1/e3t dk+1( avt/e3w dk(tb) ) |
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| 62 | !! (if lk_zdfddm=T use avs on salinity instead of avt) |
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| 63 | !! difft is evaluated with an Euler split-explit scheme using a |
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| 64 | !! no flux boundary condition at both surface and bottomi boundaries. |
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| 65 | !! (N.B. bottom condition is applied through the masked field avt). |
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| 66 | !! - the after tracer fields due to the whole trend is |
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| 67 | !! obtained in leap-frog environment by : |
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| 68 | !! ta = zwx + p2dt ta |
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| 69 | !! - in case of variable level thickness (lk_vvl=T) the |
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| 70 | !! the leap-frog is applied on thickness weighted tracer. That is: |
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| 71 | !! ta = [ tb*e3tb + e3tn*( zwx - tb + p2dt ta ) ] / e3tn |
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[3] | 72 | !! |
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[1110] | 73 | !! ** Action : - after tracer fields (ta,sa) |
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| 74 | !!--------------------------------------------------------------------- |
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| 75 | INTEGER , INTENT(in) :: kt ! ocean time-step index |
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| 76 | REAL(wp), INTENT(in), DIMENSION(jpk) :: p2dt ! vertical profile of tracer time-step |
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[3] | 77 | !! |
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[1110] | 78 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
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| 79 | REAL(wp) :: zlavmr, zave3r, ze3tr ! temporary scalars |
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[1438] | 80 | REAL(wp) :: zta, zsa, ze3tb ! temporary scalars |
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[1110] | 81 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwx, zwy, zwz, zww ! 3D workspace |
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[3] | 82 | !!--------------------------------------------------------------------- |
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| 83 | |
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[457] | 84 | IF( kt == nit000 ) THEN |
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| 85 | IF(lwp) WRITE(numout,*) |
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[789] | 86 | IF(lwp) WRITE(numout,*) 'tra_zdf_exp : explicit vertical mixing' |
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[457] | 87 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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| 88 | ENDIF |
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[3] | 89 | |
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[1110] | 90 | ! Initializations |
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| 91 | ! --------------- |
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[1537] | 92 | zlavmr = 1. / float( nn_zdfexp ) ! Local constant |
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[1110] | 93 | ! |
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| 94 | zwy(:,:, 1 ) = 0.e0 ; zww(:,:, 1 ) = 0.e0 ! surface boundary conditions: no flux |
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| 95 | zwy(:,:,jpk) = 0.e0 ; zww(:,:,jpk) = 0.e0 ! bottom boundary conditions: no flux |
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| 96 | ! |
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| 97 | zwx(:,:,:) = tb(:,:,:) ; zwz(:,:,:) = sb(:,:,:) ! zwx and zwz arrays set to before tracer values |
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[457] | 98 | |
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[1110] | 99 | ! Split-explicit loop (after tracer due to the vertical diffusion alone) |
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| 100 | ! ------------------- |
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| 101 | ! |
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[1537] | 102 | DO jl = 1, nn_zdfexp |
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[1110] | 103 | ! ! first vertical derivative |
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| 104 | DO jk = 2, jpk |
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| 105 | DO jj = 2, jpjm1 |
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| 106 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[1438] | 107 | zave3r = 1.e0 / fse3w_n(ji,jj,jk) |
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[1110] | 108 | zwy(ji,jj,jk) = avt(ji,jj,jk) * ( zwx(ji,jj,jk-1) - zwx(ji,jj,jk) ) * zave3r |
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| 109 | zww(ji,jj,jk) = fsavs(ji,jj,jk) * ( zwz(ji,jj,jk-1) - zwz(ji,jj,jk) ) * zave3r |
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| 110 | END DO |
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| 111 | END DO |
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[3] | 112 | END DO |
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[1110] | 113 | ! |
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[1537] | 114 | DO jk = 1, jpkm1 ! second vertical derivative ==> tracer at kt+l*2*rdt/nn_zdfexp |
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[1110] | 115 | DO jj = 2, jpjm1 |
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| 116 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[1438] | 117 | ze3tr = zlavmr / fse3t_n(ji,jj,jk) |
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[1110] | 118 | zwx(ji,jj,jk) = zwx(ji,jj,jk) + p2dt(jk) * ( zwy(ji,jj,jk) - zwy(ji,jj,jk+1) ) * ze3tr |
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| 119 | zwz(ji,jj,jk) = zwz(ji,jj,jk) + p2dt(jk) * ( zww(ji,jj,jk) - zww(ji,jj,jk+1) ) * ze3tr |
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| 120 | END DO |
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[3] | 121 | END DO |
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| 122 | END DO |
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[1110] | 123 | ! |
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| 124 | END DO |
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[3] | 125 | |
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[1110] | 126 | ! After tracer due to all trends |
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| 127 | ! ------------------------------ |
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| 128 | IF( lk_vvl ) THEN ! variable level thickness : leap-frog on tracer*e3t |
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| 129 | DO jk = 1, jpkm1 |
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| 130 | DO jj = 2, jpjm1 |
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| 131 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[1438] | 132 | ze3tb = fse3t_b(ji,jj,jk) / fse3t(ji,jj,jk) ! before e3t |
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[1110] | 133 | zta = zwx(ji,jj,jk) - tb(ji,jj,jk) + p2dt(jk) * ta(ji,jj,jk) ! total trends * 2*rdt |
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| 134 | zsa = zwz(ji,jj,jk) - sb(ji,jj,jk) + p2dt(jk) * sa(ji,jj,jk) |
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[1438] | 135 | ta(ji,jj,jk) = ( ze3tb * tb(ji,jj,jk) + zta ) * tmask(ji,jj,jk) |
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| 136 | sa(ji,jj,jk) = ( ze3tb * sb(ji,jj,jk) + zsa ) * tmask(ji,jj,jk) |
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[3] | 137 | END DO |
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[1110] | 138 | END DO |
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| 139 | END DO |
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| 140 | ELSE ! fixed level thickness : leap-frog on tracers |
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| 141 | DO jk = 1, jpkm1 |
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| 142 | DO jj = 2, jpjm1 |
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| 143 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[1438] | 144 | ta(ji,jj,jk) = ( zwx(ji,jj,jk) + p2dt(jk) * ta(ji,jj,jk) ) * tmask(ji,jj,jk) |
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| 145 | sa(ji,jj,jk) = ( zwz(ji,jj,jk) + p2dt(jk) * sa(ji,jj,jk) ) * tmask(ji,jj,jk) |
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[3] | 146 | END DO |
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| 147 | END DO |
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| 148 | END DO |
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[1110] | 149 | ENDIF |
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| 150 | ! |
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[3] | 151 | END SUBROUTINE tra_zdf_exp |
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| 152 | |
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| 153 | !!============================================================================== |
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| 154 | END MODULE trazdf_exp |
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